Campus Maths Puzzle Category

what is the sum of this sequence..
1*2^1+2*2^2+3*2^3+4*2^4+-----+2012*2^2012..

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Campus Other Question
A speak truth in 80% cases and B speaks truth in 60% cases..find the probability to tell the truth at the same time XYY+XZ=ABCX
XYY-XZ=DYX
find the digit D